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sin sinf sinh sinl sqrt tan tanh SEARCH.H lfind lsearch STDIO.H asprintf clearerr clearerr unlocked fclose fdopen feof feof unlocked ferror ferror unlocked fflush fgetc fgetpos fgets fileno fileno unlocked fopen fprintf fpurge fputc fputs fread freopen fscanf fseek fseeko fsetpos ftell ftello fwrite getc getchar getchar unlocked getc unlocked gets getw perror printf putc putchar putchar unlocked putc unlocked puts putw remove rename rewind scanf setbuf setbuffer setlinebuf setvbuf snprintf sprintf sscanf strerror strerror r sys errlist sys nerr tempnam tmpfile tmpnam ungetc vasprintf vfprintf vfscanf vprintf vscanf vsnprintf vsprintf vsscanf STDLIB.H abort abs atexit atof atof l atoi atol atoll atoll l atol l bsearch div ecvt exit fcvt gcvt getenv labs ldiv malloc qsort strtod strtof strtoimax strtol strtold strtoll strtoq strtoul strtoull strtoumax strtouq system Exit STRING.H memchr memcmp memcpy memmove memset stpcpy strcasestr strcasestr l strcat strchr strcmp strcoll strcoll l strcpy strcspn strlen strncmp strncpy strnstr strpbrk strrchr strrchr strspn strstr strtok strtok r strxfrm strxfrm l swab TIME.H asctime asctime r clock ctime ctime r daylight difftime mktime time timegm timezone tzname tzset tzsetwall CPP CONTAINERS vector ENGINEERING DYNAMICS Angular Velocity Linear velocity ELECTRICITY Electro magnetic Circuits FLUID MECHANICS Bernoullis Theorem Cavitation fn The Stability of Floating Bodies PUMPS Centrifugal Pumps Principles of Similarity SURGE Rigid Column Theory Surge Tanks TURBINES Axial Flow Turbines Water Turbines WATER HAMMER Elastic Column Theory Rigid Column Theory MATERIALS Compound Stress and StrainPart 2 Compound Stress and Strain part 1 Curved Beams Direct Stress Direct Stress Introduction Shear Force and Bending Moment Shear Stress Springs Struts Torsion BEAMS BeamDeflection Formulae 1 Bending Appendix 1 Bending of BeamsAppendix 2 Bending of Beams Appendix 3 Bending of Beams Oart 8 Bending of Beams Part 1 Bending of Beams part 3 Bending of Beams Part 4 Bending of Beams Part 5 Bending of Beams Part 6 Bending of Beams Part 7 Bending of Beams Part 2 Shear Stress in Beams BENDING STRESS Bending Stress MOMENTS OF INERTIA Moments of Inertia WORKED EXAMPLES 1 Worked Examples 1 MECHANICS Angle and Cone of friction Laws of Friction METALLURGY Alloy Steels Impurities in Steel Iron Carbon Alloys STRUCTURES Youngs Modulus THERMODYNAMICS Air Compressors and MOTORS Expansion and Compression of a Perfect Gas Internal Combustion Engine Cycles SecondLaw of Thermodynamics The First Law of Thermodynamics The Properties of the Working Substance The Thermodynqmics of a Perfect Gas Thermodynamic cycles and the Carnot Cycle Variations in Entropy for a Perfect Gas MATHS Dimensional Analysis Integration Methods of Integration ANALYTICAL GEOMETRY Introduction to Analytical Geometry Pairs of Straight Lines The Coordinate Geometry of a Circle THE ELLIPSE The Hyperbola THE PARABOLA The Straight Line DATA FITTING Interpolation Multivariate Interpolation Univariate Regression DIFFERENTIAL EQUATIONS An Introduction to Differential Equations Differential Equations of the First Ordere and the Homogeneous Differential Equations impact Linear Differential Equations with Constant Coeffi Linear Simultaneous Equations Partial Differential Equations The D operator The Equation of Energy Worked Examples 1 Worked Examples 2 Worked Examples 3 EQUATIONS OF MOTION Damped andForced Oscillations Simple Harmonic Motion PURE GEOMETRY Theorems on Triangles and Circles TRIGONOMETERY Formulae The Trigonometry of the Triangle Trigonometrical Formulae Trigonometrical Ratios NOTATIONS MATHS basic calculus geometry logics set theory WORKED EXAMPLES APPLIED MATHS Dynamics Frictionless Projectiles	ARRAY Cube Grid Matrix Vector SEARCH Lookup SORT Bucket Sort Heap Sort Insertion Sort Multikey Quicksort Quick Sort COMPUTING BASE Dec To Oct LOWLEVEL Is Big Endian Machine Epsilon ENGINEERING HEAT TRANSFER CONDUCTION Hm Plane Hm Sphere Nhm Plane Nhm Sphere CONVECTION Flow Nusselt Extpipe Nusselt Flat Nusselt Intpipe Parameters RADIATION Energy Flow Enclosed Flow Noshield Flow Shield MATERIALS Rosin Rammler STRENGTH AXIAL Bar Diameter SOIL Critical Depth Inf Slope Safety Factor STRUCTURES Deflection Pp THERMODYNAMICS Pressure WAVES Celerity Dispersion Group Celerity SPECTRA JONSWAP Pierson Moskowitz FINANCE ACCOUNTING Deprec Fixed Dec Depreciation Deprec Pro Rated Deprec Pro Rated M Deprec Straight Deprec Sum Of Years Npv Pv Xnpv BANKING Accrued Interest Bill Bond Equiv Bill Price Bill Yield Coupon Days After Set Coupon Days In Period Coupon Days To Set Coupon Next Date Coupon Number Coupon Prev Date Dollar Decimal Dollar Fraction Future Value Future Value Schedule Interest Effective Interest Nominal Interest Security N Periods Total Received Year Basis Year Fraction Yearly Freq GEOMETRY Corners AREA Circle Edge Triangle Ellipse Free Triangle Right Triangle SPHERICAL Angular Distance Lat Long Position VOLUME Ellipsoidal Cap GRAPHICS Median Filter IO BINARY File Length File Length Cpp Read File FORMAT Number Format Roundto MATHS ALGEBRA POLYNOMIAL Cheb Eval Poly Eval SERIES Asympt Expn ARITHMETIC Add Cube Root Expx2 Exp Sub1 Factorial Gcd Karatsuba Ln Add1 Log Factorial Log Inv Multiply Nroot Subtract Xsub Ln Add1 CALCULUS DIFF Taylor Taylor Table ODE Euler Runge Runge Sys QUADRATURE Gauss Simpson Trapezoidal COMBINATORICS ARITHMETIC Binomial Coefficient Binomial Coefficient Gamma Falling Factorial Log Binomial Multinomial Multinomial Gamma Rising Factorial COMBINATIONS Unrank Combination PERMUTATIONS Ascending Subsequence Breaks Check Cycles Derangement Check Inverse Inverse Large Inversion Sequence Multiplication Partition Permutation1 Permutation2 Permutation3 Permutation Lex Rank Sign Ulam Distance Unrank Unused Items SEQUENCES ASM Number ASM Triangle Row Bell Numbers List Catalan Numbers List Catalan Triangle Row Derangements List Derangements Number Euler Triangle Row Fixed Permutation Involution Numbers List Morse Thue Number Padovan Numbers List Pascal Triangle Row Pentagonal Number Perrin Numbers List Schroeder Numbers List Young Number INTERPOLATION Akima Cubic Lagrange Linear NUMBERTHEORY Bernoulli A Bernoulli B Euler Factorize Factorize Direct Is Prime Primes OPTIMIZATION Bracket Brent Golden Nelder RECURRENCE LINEAR INHOMOGENEOUS First Order REGRESSION Discrete Forsythe Linear Logistic Orthogonal Parabolic Stiefel ROOTFINDING Aitken Bernoulli Bisection Brent Falseposition Muller Newton Secant SPECIAL Error Fn Error Fn C Error Fn C Exp Error Fn Inv Fresnel Cos Fresnel Sin Sine Power Integral T AIRY Airy BESSEL Hankel Kelvin Struve I I I0 I1 J J J0 J1 J Expansion J Nt J Recurrence J Series K K K0 K1 Y Y Y0 Y1 GAMMA Beta Beta Reg Beta Reg Inv Gamma Gamma Upper Reg Inv Gamma Lower Reg Gamma Rcp Gamma Simple Gamma Upper Reg Log Beta Log Gamma Frac Log Gamma Sum Log Gamma Simple Log Gamma Log Gamma Stirling Psi Stirling Trigamma HYPERGEOMETRIC Hypergeo Hypergeo 1f1a Hypergeo 1f1p Hypergeo 1f2 Hypergeo 2f0 Hypergeo 3f0 STATS Countif Operators Sumif DISTS CONTINUOUS ANGLE CDF PDF ANGLIT CDF CDF Inv PDF ARCSIN CDF CDF Inv PDF Variance BETA CDF CDF Inv PDF Random Sample BRADFORD CDF CDF Inv Mean PDF Variance BURR CDF PDF CHISQUARED CDF CDF Inv Random Sample F CDF CDF Inv GAMMA CDF Random Sample LOGISTIC CDF CDF Inv PDF LOGNORMAL CDF CDF Inv PDF NORMAL CDF CDF Inv PDF Random Sample STDNORMAL CDF CDF Inv PDF T CDF CDF Inv PDF WEIBULL CDF PDF DISCRETE BINOMIAL CDF CDF Inv PDF DISCRETE Randomfast Random Sample HYPERGEOMETRIC CDF CDF Inv PDF NEGATIVEBINOMIAL CDF CDF Inv PDF Random Sample POISSON CDF CDF Inv PDF Random Sample MOMENTS Avedev Combin Correlation Covariance Fisher Fisher Inverse Frequency Geometric Harmonic Kurtosis Largest Mean Median Mode Pearson Permut Prob Rank Skewness Smallest Squared Deviations Standard Deviation Statistics Trim Mean Variance RANDOM Carry Fish Moore LGM Mersenne Mother Of All Wich Hill STRINGS Html Word Wrap Nth Word Strtodouble Vec Word Count SEARCH Detect Bracket Detect Comments Detect Speech UNITS Convert CONVERT Angle Area Density Distance Flow Force Light Power Pressure Temperature Volume DATE Constants Date Date Diff Date Diff360 Date String Date Time Date YMD Date Str Day Day Of Week Day Of Year Days In Month Days In Year Easter Sunday End Of Month Excel To Julian First Monday Inc Month Is Leap Year Julian To Excel Month Month Str Network Days Next Week Day Nth Week Day Today Weekday Str Week Of Year Work Day Year TIME GMTOffset Hour Minute Now Second Summertime Summer Time Region Time Time HMS World Time Diff World Time Zone